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22422444444 = 22323733150857
BaseRepresentation
bin10100111000011110…
…110101100110011100
32010212122210012022100
4110320132311212130
5331410121210234
614144542445100
71422435430101
oct247036654634
963778705270
1022422444444
119566981424
124419293790
13216452150a
141129d08aa8
158b3777399
hex5387b599c

22422444444 has 72 divisors (see below), whose sum is σ = 58387832048. Its totient is φ = 7250031360.

The previous prime is 22422444433. The next prime is 22422444461. The reversal of 22422444444 is 44444422422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22422444399 and 22422444408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415464 + ... + 466320.

Almost surely, 222422444444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22422444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29193916024).

22422444444 is an abundant number, since it is smaller than the sum of its proper divisors (35965387604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22422444444 is a wasteful number, since it uses less digits than its factorization.

22422444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51235 (or 51230 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

Adding to 22422444444 its reverse (44444422422), we get a palindrome (66866866866).

The spelling of 22422444444 in words is "twenty-two billion, four hundred twenty-two million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 331 333 444 662 666 993 1324 1332 1986 2979 3972 5958 11916 12247 24494 36741 48988 50857 73482 101714 110223 146964 152571 203428 220446 305142 440892 457713 610284 915426 1830852 1881709 3763418 5645127 7526836 11290254 16833667 16935381 22580508 33667334 33870762 50501001 67334668 67741524 101002002 151503003 202004004 303006006 606012012 622845679 1245691358 1868537037 2491382716 3737074074 5605611111 7474148148 11211222222 22422444444